3,101,430

2 × 3 × 5 × 67 × 1543

Starting at 3,101,430, the Collatz iteration reaches 1 after 208 steps. The first transition is 1550715; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 67 × 1543

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,559,424

Proper Divisor Sum 4,457,994

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3101419 ← → #3101437

Radix Representation

Decimal	3101430
Binary	1011110101001011110110 (22 bits)
Octal	0o13651366
Hexadecimal	0x2F52F6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 67 134 201 335 402 670 1,005 1,543 2,010 3,086 4,629 7,715 9,258 15,430 23,145 46,290 103,381 206,762 310,143 516,905 620,286 1,033,810 1,550,715 3,101,430

Collatz Trajectory (208 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,101,430 1,550,715 4,652,146 2,326,073 6,978,220 3,489,110 1,744,555 5,233,666 2,616,833 7,850,500 3,925,250 1,962,625 5,887,876 2,943,938 1,471,969 4,415,908 2,207,954 1,103,977 3,311,932 1,655,966 827,983 2,483,950 1,241,975 3,725,926 1,862,963 5,588,890 2,794,445 8,383,336 4,191,668 2,095,834 1,047,917 3,143,752 1,571,876 785,938 392,969 1,178,908 589,454 294,727 884,182 442,091 1,326,274 663,137 1,989,412 994,706 497,353 1,492,060 746,030 373,015 1,119,046 559,523 1,678,570 839,285 2,517,856 1,258,928 629,464 314,732 157,366 78,683 236,050 118,025

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